chp32_3 - PHY2061 R D Field Vector Multiplication Dot Cross...

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PHY2061 R. D. Field Department of Physics chp32_3.doc University of Florida Vector Multiplication: Dot & Cross Two Vectors: Define two vectors according to r r A A x A y A z B B x B y B z x y z x y z = + + = + + \$ \$ \$ \$ \$ \$ . The magnitudes of the vectors is given by r r A A A A A B B B B B x y z x y z = = + + = = + + 2 2 2 2 2 2 Dot Product ( Scalar Product ): The dot product, S, is a scalar and is given by S A B A B A B A B A B x x y y z z = = = + + r r r r cos θ Cross Product ( Vector Product ): The cross product, r C , is a vector and is given by r r r C A B A B A B x A B A B y A B A B z
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